
Here we see that the leading term for \(\psi _n^{(0)}\) is the usual one that we encounter in the unstabilized limit. Solutions to the leading order differential equation are well known and can be found in Ref. [1]}. We reproduce some of these results here later. After solving for \(\psi _n^{(0)}\) ,
we then proceed to solve the above differential equation at order \(\epsilon ^2\) .
